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<p>This work proposes an efficient semi-numerical scheme to simulate phase and frequency modulation in noisy resonant tunneling diode (RTD) oscillators coupled to parasitic cavity modes. Using a separation of timescales, a compact amplitude-phase description of the coupled system is derived. In this compact system, phase modulation by fundamental and subharmonic injection locking is investigated regarding the influence of amplitude- and phase noise, the influence of external cavity modes and the limitations in the modulation bandwidth and stability. The stability of phase control against cycle slips induced by the phase modulation is expressed using a diffusion coefficient. The compact system accurately models experimental data of RTD oscillators presented in this paper, which show a strong correlation of module integration on frequency and phase control at oscillation frequencies of 550&#xa0;GHz. The method lays a foundation for compact and dynamic phase-amplitude descriptions of cavity-coupled RTD oscillators and arrays for future applications in localization and sensing, in which the interaction between the RTD and external resonance modes is decisive.</p>

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Analysis of subharmonic phase control in cavity-coupled resonant tunneling diode oscillators

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  • 发表日期：

    2025年7月29日

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  • Jonas Watermann,
  • Enes Mutlu,
  • Jonathan Abts,
  • Christian Preuss,
  • Nils Weimann

摘要

This work proposes an efficient semi-numerical scheme to simulate phase and frequency modulation in noisy resonant tunneling diode (RTD) oscillators coupled to parasitic cavity modes. Using a separation of timescales, a compact amplitude-phase description of the coupled system is derived. In this compact system, phase modulation by fundamental and subharmonic injection locking is investigated regarding the influence of amplitude- and phase noise, the influence of external cavity modes and the limitations in the modulation bandwidth and stability. The stability of phase control against cycle slips induced by the phase modulation is expressed using a diffusion coefficient. The compact system accurately models experimental data of RTD oscillators presented in this paper, which show a strong correlation of module integration on frequency and phase control at oscillation frequencies of 550 GHz. The method lays a foundation for compact and dynamic phase-amplitude descriptions of cavity-coupled RTD oscillators and arrays for future applications in localization and sensing, in which the interaction between the RTD and external resonance modes is decisive.